Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
234 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 59 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19152003 | C2 | semidirect |
| 4. #19151808 | C2 | semidirect |
| 5. #19151343 | C2 | semidirect |
| 7. Q8⋊C8×C89 | C2 | semidirect |
| 62. D356 | Q16 | semidirect |
| 93. C89 | #1649 | semidirect |
| 99. Q8⋊C8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×D356 | 2 |
| #19152003 | 2 |
| #19151879 | 2 |
| #19151808 | 2 |
| #19151343 | 2 |
| #19151327 | 2 |
| Q8⋊C8×C89 | 2 |
| #1649 | 89 |